Method for calculating inherent frequency of transverse vibration of Euler-Bernoulli beam, storage medium and equipment

Abstract

The invention discloses an inherent frequency calculation method for transverse vibration of an Euler-Bernoulli beam, a storage medium and equipment. The inherent frequency calculation method comprises the following steps: calculating micro-unit mass of a current point on the beam and vibration acceleration of transverse vibration of the current point under a stress condition; calculating the micro-unit inertia force of the current point according to the micro-unit mass and the vibration acceleration; integrating the inertia force of the micro-unit to obtain equivalent mass; the equivalent stiffness coefficient of the beam is calculated, according to the equivalent mass and the equivalent stiffness coefficient, the inherent frequency of transverse vibration of the beam is calculated according to the following formula, when the equivalent mass is calculated, integration is carried out on micro-unit inertia force applied to the current point, and the method is different from the method for carrying out integration on kinetic energy through a vibration kinetic energy method in the prior art. Since the kinetic energy integral of each point is not equal to the mass center kinetic energy and is not equal to the concentrated mass point kinetic energy, the equivalent mass calculated by the method is more accurate, that is, the calculated inherent frequency value is more accurate.

Description

Technical Field

[0001] The present invention relates to the technical field of mechanical vibration, and in particular to a method, storage medium and device for calculating the natural frequency of lateral vibration of an Euler-Bernoulli beam. Background Art

[0002] Natural frequency refers to the specific frequency of a structural system, determined solely by its own properties, when it is subjected to external excitation and causes motion. In forced vibration, when the excitation frequency is equal to or close to the natural frequency of the vibrating body, resonance may occur, amplifying the amplitude. The purpose of calculating natural frequency is to understand the frequency at which resonance occurs in a vibrating body, thereby preventing or encouraging resonance, mitigating its harmful effects, or utilizing resonance for human benefit.

[0003] However, current vibration dynamics is a "science" riddled with errors. While the forced vibration equations and their solutions, as well as the formulas for calculating natural frequencies, based on spring oscillators and lumped masses, are correct, their application to Euler-Bernoulli beams (i.e., calculating natural frequencies) is plagued by numerous errors. Even the natural frequencies obtained for the same object using different branches of theory are inconsistent, leading to considerable confusion and computational complexity for practitioners. The so-called Euler-Bernoulli beam is an elastic rigid beam whose primary deformation is bending, neglecting shear deformation and the effects of the moment of inertia of the cross section about the neutral axis.

[0004] Therefore, there is an urgent need for a method for calculating the natural frequency of the lateral vibration of an Euler-Bernoulli beam, a storage medium and a device to solve the above technical problems. Summary of the Invention

[0005] The present invention aims to solve the above-mentioned technical problems, namely, to solve the problem that errors occur in the existing calculation of the natural frequency of the Euler-Bernoulli beam, and even the natural frequencies obtained by different branches of the theory for the same object cannot remain equal, which makes users confused and brings great confusion and complex calculations.

[0006] To this end, in a first aspect, the present invention provides a method for calculating the natural frequency of lateral vibration of an Euler-Bernoulli beam, the method comprising:

[0007] Calculating the micro-unit mass of the current point on the beam and the vibration acceleration of the lateral vibration of the current point under the force condition;

[0008] Calculate the micro-unit inertial force at the current point according to the micro-unit mass and the vibration acceleration;

[0009] integrating the inertial force of the micro-unit to obtain an equivalent mass;

[0010] The stiffness coefficient of the beam is calculated, and the natural frequency of the lateral vibration of the beam is calculated according to the equivalent mass and the stiffness coefficient using the following formula:

[0011]

[0012] Where f0 is the natural frequency; m eq is the equivalent mass; K is the stiffness coefficient of the beam.

[0013] In a specific embodiment of the above-mentioned method for calculating the natural frequency of transverse vibration of an Euler-Bernoulli beam, the step of "calculating the mass of the micro-element at the current point on the beam" specifically includes:

[0014] The micro-unit mass at the current point is calculated according to the following formula:

[0015] dM=ρ·A·dx

[0016] Among them, dM is the mass of the micro unit; ρ is the density of the beam; A is the cross-sectional area of ​​the beam; dx is the micro unit at the current point.

[0017] In a specific embodiment of the above-mentioned method for calculating the natural frequency of the lateral vibration of the Euler-Bernoulli beam, the step of "calculating the micro-unit inertial force at the current point according to the micro-unit mass and the vibration acceleration" specifically includes:

[0018] The micro-unit inertial force is calculated according to the following formula:

[0019]

[0020] Wherein, dF is the micro-unit inertial force generated by the micro-unit mass dM; is the vibration acceleration of the lateral vibration of the current point under force conditions.

[0021] In a specific embodiment of the above-mentioned method for calculating the natural frequency of the lateral vibration of the Euler-Bernoulli beam, the step of "integrating the inertial force of the micro-unit to obtain the equivalent mass" specifically includes:

[0022] The inertia force is integrated to obtain the total inertia force of the beam, and the integration formula is as follows:

[0023]

[0024] Where F0 is the total inertia force of the beam, L is the coordinate value of the concentrated mass application point of the beam in the longitudinal direction, and l is the total length of the beam;

[0025] The equivalent mass of the concentrated mass application point is obtained by calculation according to the total inertial force.

[0026] In the specific implementation of the above-mentioned method for calculating the natural frequency of the lateral vibration of the Euler-Bernoulli beam, the specific steps of "calculating the equivalent mass of the concentrated mass application point according to the total inertial force" are:

[0027] The total inertial force of the concentrated mass at the point of application of the concentrated mass is calculated as follows:

[0028]

[0029] Where M is the concentrated mass;

[0030] Will Substitute into the formula In, and follow m eq =M conversion, the final equivalent mass is:

[0031]

[0032] in, It is the maximum vibration acceleration of the beam's concentrated mass application point, that is, the maximum vibration acceleration of the entire beam.

[0033] In a specific embodiment of the above-mentioned method for calculating the natural frequency of the transverse vibration of the Euler-Bernoulli beam, the beam is a cantilever beam with one end fixed and the other end free, and a total length of l. The concentrated mass application point of the cantilever beam is at the free end of the beam, and the coordinate value of this point in the longitudinal direction is x=L=l. The vibration acceleration of the current point on the cantilever beam is:

[0034]

[0035] The equivalent mass of the cantilever beam is obtained according to the vibration acceleration of the current point:

[0036]

[0037] In a specific embodiment of the above-mentioned method for calculating the natural frequency of lateral vibration of an Euler-Bernoulli beam, the beam is a simply supported beam at both ends, with a total length of l. The concentrated mass application point of the simply supported beam is in the middle of the beam, and the coordinate value of this point in the longitudinal direction is x = L = l / 2. The vibration acceleration of the current point on the simply supported beam is:

[0038]

[0039] The equivalent mass of the simply supported beam is obtained according to the vibration acceleration of the current point:

[0040]

[0041] In a specific embodiment of the above-mentioned method for calculating the natural frequency of lateral vibration of an Euler-Bernoulli beam, the beam is fixed at both ends, has a total length of l, and the concentrated mass application point of the fixed-end beam is in the middle of the beam, and the coordinate value of this point in the length direction is x=L=l / 2; the vibration acceleration of the current point on the fixed-end beam is:

[0042]

[0043] The equivalent mass of the fixed beam at both ends is obtained according to the vibration acceleration of the current point:

[0044]

[0045] In a second aspect, the present invention further provides a computer storage medium having a computer program stored thereon, which, when executed by a processor, implements the method for calculating the natural frequency of the lateral vibration of an Euler-Bernoulli beam as described in any one of the items described in the first aspect of the present invention.

[0046] In a third aspect, the present invention also provides a computer device comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein when the processor executes the computer program, the method for calculating the natural frequency of the lateral vibration of an Euler-Bernoulli beam as described in any one of the items described in the first aspect of the present invention is implemented.

[0047] Compared with the prior art, the present invention has the following beneficial effects:

[0048] When calculating the equivalent mass, the present invention integrates the micro-unit inertial force at the current point. This is different from the vibration dynamics energy method in the prior art that integrates kinetic energy. Since the integral of the kinetic energy of each point is not equal to the kinetic energy of the center of mass, let alone the kinetic energy of the concentrated mass point, the equivalent mass obtained by integrating the micro-unit inertial force in the present invention is more accurate, that is, the calculated natural frequency value is more accurate. At the same time, the calculation method provided by the present invention has fewer calculation steps and has the advantage of simple calculation. It is suitable for calculating the natural frequency of Euler-Bernoulli beams such as cantilever beams, simply supported beams, and beams fixed at both ends. BRIEF DESCRIPTION OF THE DRAWINGS

[0049] The preferred embodiments of the present invention are described below with reference to the accompanying drawings, in which:

[0050] Figure 1 This is a flow chart of the main steps of the method for calculating the natural frequency of the lateral vibration of the Euler-Bernoulli beam provided by the present invention. DETAILED DESCRIPTION

[0051] To make the objectives, technical solutions, and advantages of the present invention more clear, the technical solutions of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the embodiments described are only some of the embodiments of the present invention, not all of them. All other embodiments derived by persons of ordinary skill in the art based on the embodiments of the present invention without inventive effort are within the scope of protection of the present invention.

[0052] In the description of the present invention, it should be noted that the terms "upper," "lower," "inner," and "outer," etc., indicating orientations or positional relationships, are based on the orientations or positional relationships shown in the accompanying drawings and are intended solely to facilitate the description of the present invention and simplify the description. They do not indicate or imply that the systems or components referred to must have a specific orientation, be constructed, or operate in a specific orientation. Therefore, they should not be construed as limitations on the present invention. Furthermore, the use of terms such as "first" and "second" to define components is solely for the purpose of distinguishing those components. Unless otherwise stated, these terms have no special meanings and should not be construed as indicating or implying relative importance.

[0053] In the description of the present invention, it should be noted that, unless otherwise expressly specified or limited, the terms "installed," "installed," and "connected" should be understood in a broad sense. For example, they may refer to fixed, detachable, or integral connections; mechanical or electrical connections; direct or indirect connections through an intermediate medium; and internal communication between two components. Those skilled in the art will understand the specific meanings of the above terms in the present invention based on the specific circumstances.

[0054] The present invention relates to the field of mechanical vibration technology, and more particularly to a method for calculating the natural frequency of the transverse vibration of an Euler-Bernoulli beam. This method aims to address the existing problem of errors in calculating the natural frequency of an Euler-Bernoulli beam. Even when different branches of the theory are used for the same object, the natural frequencies obtained cannot be consistent, leading to confusion and computational complexity for users. To this end, the present invention provides a method for calculating the natural frequency of the lateral vibration of an Euler-Bernoulli beam, which includes: calculating the micro-unit mass of the current point on the beam and the vibration acceleration of the lateral vibration of the current point under force conditions; calculating the micro-unit inertia force of the current point based on the micro-unit mass and the vibration acceleration; integrating the micro-unit inertia force to obtain an equivalent mass; calculating the equivalent stiffness coefficient of the beam, and calculating the natural frequency of the lateral vibration of the beam according to the following formula based on the equivalent mass and the equivalent stiffness coefficient. When calculating the equivalent mass, the present invention integrates the micro-unit inertia force of the current point, which is different from the vibration dynamics energy method in the prior art that integrates kinetic energy. Since the integral of the kinetic energy of each point is not equal to the kinetic energy of the center of mass, let alone the kinetic energy of the concentrated mass point, the equivalent mass obtained by integrating the micro-unit inertia force in the present invention is more accurate, that is, the calculated natural frequency value is more accurate. At the same time, the calculation method provided by the present invention has fewer calculation steps and has the advantage of simple calculation.

[0055] Hereinafter, the method for calculating the natural frequency of the transverse vibration of an Euler-Bernoulli beam, the storage medium, and the device provided by the embodiments of the present invention will be described in detail with reference to the accompanying drawings.

[0056] See Figure 1 The present invention provides a method for calculating the natural frequency of lateral vibration of an Euler-Bernoulli beam, the method comprising:

[0057] S1, calculate the micro-element mass of the current point on the beam and the vibration acceleration of the lateral vibration of the current point under the force condition;

[0058] S2, calculate the micro-unit inertial force at the current point based on the micro-unit mass and vibration acceleration;

[0059] S3, integrate the inertial force of the micro-element to obtain the equivalent mass;

[0060] S4, calculate the stiffness coefficient of the beam, and calculate the natural frequency of the beam's lateral vibration according to the following formula based on the equivalent mass and stiffness coefficient:

[0061]

[0062] Where f0 is the natural frequency; m eq is the equivalent mass; K is the stiffness coefficient of the beam.

[0063] It should be noted that, because the concentrated mass application points of different beams are different, it is necessary to determine the concentrated mass application points of the beams before calculating the equivalent mass for subsequent use. Regarding the order of calculating the beam stiffness coefficients, although the beam stiffness coefficients are calculated in step S4, this is merely an example. The stiffness coefficients can also be calculated before calculating the equivalent mass. Of course, the stiffness coefficients and equivalent mass can also be calculated simultaneously, all of which are within the scope of protection of this application.

[0064] In this application, lateral vibration refers to the vibration in the thickness direction of the beam, which is named the y-axis direction, and the length direction of the beam is the x-axis direction. The coordinate value of the current point in the length direction is x.

[0065] In one embodiment, step S1 of “calculating the micro-element mass of the current point on the beam” specifically includes:

[0066] The micro-unit mass of the current point is calculated according to the following formula (named as Formula 1):

[0067] dM=ρ·A·dx

[0068] Where ρ is the density of the beam; A is the cross-sectional area of ​​the beam; dx is a micro-unit at the current point x on the beam, also called the current point micro-unit.

[0069] Step S2 of “calculating the micro-unit inertial force at the current point based on the micro-unit mass and vibration acceleration” specifically includes:

[0070] The micro-unit inertial force at the current point is calculated according to the following formula (name this formula as Formula 2):

[0071]

[0072] Wherein, dF is the micro-unit inertial force generated by the micro-unit mass dM; It is the vibration acceleration of the lateral vibration of the current point under force conditions, that is, the second-order derivative of the lateral vibration y.

[0073] In one embodiment, in step S3, the step of “integrating the micro-unit inertial force to obtain the equivalent mass” specifically includes:

[0074] The total inertia force of the beam is obtained by integrating the micro-element inertia force dF. The integral formula (named Formula 3) is as follows:

[0075]

[0076] Where F0 is the total inertia force at the concentrated mass application point, L is the coordinate value of the concentrated mass application point of the beam in the longitudinal direction, and l is the total length of the beam;

[0077] The equivalent mass of the concentrated mass application point is calculated based on the total inertial force. In this application, equivalent mass is the abbreviation of "mass with the same effect as the concentrated mass at the concentrated mass application point".

[0078] Specifically, the specific steps of "calculating the equivalent mass of the concentrated mass application point based on the total inertia force" are:

[0079] The total inertial force of the concentrated mass at the point of application of the concentrated mass is calculated as follows:

[0080]

[0081] Where M is the concentrated mass;

[0082] Will Substitute into the formula In, and follow m eq =M conversion, the final equivalent mass m eq for:

[0083]

[0084] in, It is the maximum vibration acceleration of the beam's concentrated mass application point, that is, the maximum vibration acceleration of the entire beam.

[0085] The Euler-Bernoulli beam in this application is a homogeneous beam, that is, the density of the entire beam is the same, and the entire beam is a beam of uniform cross-section.

[0086] The calculation method described in the above embodiment is specifically explained below by taking a cantilever beam, a simply supported beam and a beam fixed at both ends as examples.

[0087] Example 1

[0088] The Euler-Bernoulli beam is a cantilever beam with a total length of l. Step S0 is executed. The concentrated mass application point of the cantilever beam is at the free end of the beam. The coordinate value of this point in the length direction is x=L=l. The deflection of the free end is:

[0089]

[0090] in, is the maximum vibration acceleration at the free end of the cantilever beam.

[0091] If a concentrated force is applied at the current point x, the vibration acceleration at the current point x is:

[0092]

[0093] Execute step S1 and calculate the micro-unit mass dM of the current point according to the above formula 1:

[0094] dM=ρ·A·dx

[0095] Execute step S2 to calculate the micro-unit inertial force dF according to the micro-unit mass dM at the current point and the vibration acceleration of the lateral vibration at the current point according to the above formula 2:

[0096]

[0097] Execute step S3, integrate the micro-unit inertial force dF, and obtain the total inertial force F0 as:

[0098]

[0099] Calculate the total inertial force of the concentrated mass M at the point where the concentrated mass is applied: Will Substitute into the formula In, and follow m eq =M conversion, and finally the equivalent mass m of the cantilever beam can be obtained eq for:

[0100]

[0101] Where ρ is the density of the cantilever beam, A is the cross-sectional area of ​​the cantilever beam, and l is the total length of the cantilever beam. Execute step S4 to calculate the stiffness coefficient of the cantilever beam K = 3E·I / l 3 , substituting the calculated equivalent mass and stiffness coefficient into the natural frequency calculation formula, the natural frequency of the cantilever beam can be obtained as:

[0102]

[0103] Where E is the elastic modulus and I is the section moment of inertia of the beam.

[0104] Example 2

[0105] The Euler-Bernoulli beam is a simply supported beam with a total length of l. In step S0, the concentrated mass application point of the simply supported beam is in the middle of the beam. The coordinate value of this point in the longitudinal direction is x = L = l / 2. The deflection at this position is:

[0106]

[0107] Where y0 is the deflection of the simply supported beam at the point where the concentrated mass is applied, or the vibration displacement; is the maximum vibration acceleration of the simply supported beam at the point where the concentrated mass is applied.

[0108] If a concentrated force is applied at the current point x, the vibration acceleration at the current point x is:

[0109]

[0110] Execute step S1 and calculate the micro-unit mass dM of the current point according to the above formula 1:

[0111] dM=ρ·A·dx

[0112] Where ρ is the density of the simply supported beam, A is the cross-sectional area of ​​the simply supported beam, and l is the total length of the simply supported beam.

[0113] Execute step S2, and calculate the micro-unit inertial force dF according to the micro-unit mass dM at the current point and the vibration acceleration of the lateral vibration at the current point according to the above formula 2:

[0114]

[0115] Execute step S3, integrate the micro-unit inertial force dF, and obtain the total inertial force F0 as:

[0116]

[0117] Calculate the total inertial force of the concentrated mass M at the point where the concentrated mass is applied: Will Substitute into the formula In, and follow m eq =M conversion, and finally the equivalent mass m of the simply supported beam can be obtained eq for:

[0118]

[0119] Where ρ is the density of the simply supported beam and A is the cross-sectional area of ​​the simply supported beam.

[0120] Execute step S4 to calculate the stiffness coefficient of the simply supported beam K = 48E·I / l 3 , substituting the stiffness coefficient and equivalent mass into the natural frequency calculation formula, the natural frequency of the simply supported beam is obtained as:

[0121]

[0122] Where E is the elastic modulus and I is the section moment of inertia of the beam.

[0123] Example 3

[0124] The Euler-Bernoulli beam is a beam fixed at both ends with a total length of l. Step S0 is executed to determine that the concentrated mass application point of the fixed beam is in the middle of the beam. The coordinate value of this point in the longitudinal direction is x = L = l / 2. The deflection at this position is:

[0125]

[0126] Where y0 is the deflection of the concentrated mass application point of the fixed beam at both ends; is the maximum vibration acceleration at the point where the concentrated mass of the beam is fixed at both ends.

[0127] If a concentrated force is applied at the current point x, the vibration acceleration at the current point x is:

[0128]

[0129] Execute step S1 and calculate the micro-unit mass dM of the current point according to the above formula 1:

[0130] dM=ρ·A·dx

[0131] Where ρ is the density of the fixed beam, A is the cross-sectional area of ​​the fixed beam, and l is the length of the fixed beam.

[0132] Execute step S2, and calculate the micro-unit inertial force dF exerted by the equivalent mass on the concentrated mass application point according to the above formula 2 based on the micro-unit mass dM at the current point and the vibration acceleration of the lateral vibration at the current point:

[0133]

[0134] Execute step S3, integrate the micro-unit inertial force dF, and obtain the total inertial force F0 as:

[0135]

[0136] Calculate the total inertial force of the concentrated mass M at the point where the concentrated mass is applied: Will Substitute into the formula In, and follow m eq =M conversion, and finally we can get the equivalent mass m of the beam fixed at both ends. eq for:

[0137]

[0138] Where ρ is the density of the fixed beam, A is the cross-sectional area of ​​the fixed beam, and l is the length of the fixed beam.

[0139] Execute step S4 to calculate the stiffness coefficient of the fixed beam at both ends: K = 192E·I / l 3 , substituting the equivalent mass and stiffness coefficient into the natural frequency calculation formula, the natural frequency of the beam fixed at both ends is obtained as:

[0140]

[0141] Where E is the elastic modulus and I is the section moment of inertia of the beam.

[0142] In the various embodiments described above, the inertial force of the micro-unit at the current point is integrated when calculating the equivalent mass. This is different from the integration of kinetic energy in the vibration dynamics energy method in the prior art. Since the kinetic energy integration of each point is not equal to the kinetic energy of the center of mass, let alone the kinetic energy of the concentrated mass point, the equivalent mass obtained by integrating the inertial force of the micro-unit in the present invention is more accurate, that is, the calculated natural frequency value is more accurate. Taking a beam fixed at both ends as an example, the measured natural frequency of the beam is f c =90.5Hz, the natural frequency calculated by the method recommended by this patent is f0=90.98Hz, and the relative deviation from the measured value (δf / f=(f0-f c ) / f c ) is 0.53%; however, the natural frequency calculated using the general vibration dynamics method is 99.322 Hz, with a relative deviation of 9.75% from the measured value, which is 18.4 times the deviation of the method in this patent. We also measured the natural frequency of the cantilever beam, and the measured natural frequency was 116 Hz. The natural frequency calculated using the method recommended by this patent was 116.15 Hz, with a relative deviation of 0.13% from the measured value; the natural frequency calculated using the general vibration dynamics method was 117.87 Hz, with a relative deviation of 1.61% from the measured value, which is 7.8 times the deviation of the method in this patent; the natural frequency calculated using the Rayleigh energy method of vibration dynamics was 119.61 Hz, with a relative deviation of 3.1% from the measured value, which is 23.8 times the deviation of the method in this patent. Practice has shown that the calculation results of the recommended method in this patent are closer to the measured results and more accurate. In addition, the calculation method provided by the present invention has a small number of calculation steps and is simple to calculate, and is suitable for calculating the natural frequency of Euler-Bernoulli beams such as cantilever beams, simply supported beams, and beams fixed at both ends.

[0143] On the other hand, the present application also provides a processing device for implementing the method for calculating the natural frequency of the lateral vibration of the Euler-Bernoulli beam provided in the above-mentioned various embodiments. The processing device can be a processing device for a client, such as a mobile phone, a laptop computer, a tablet computer, a desktop computer, etc., to execute the method of Example 1.

[0144] The processing device includes a processor, a memory, a communication interface, and a bus. The processor, memory, and communication interface are connected via the bus to facilitate communication between them. The memory stores a computer program executable by the processor. When the processor executes the computer program, it executes the method for calculating the inter-hydrate particle adhesion force provided in Example 1.

[0145] Preferably, the memory may be a high-speed random access memory (RAM), and may also include a non-volatile memory, such as at least one disk memory.

[0146] Preferably, the processor may be a central processing unit (CPU), a digital signal processor (DSP), or other general-purpose processors of various types, which are not limited here.

[0147] In addition, the present invention also provides that the method for calculating the natural frequency of the lateral vibration of the Euler-Bernoulli beam described in the various embodiments above can be specifically implemented as a computer program product, which may include a computer-readable storage medium carrying computer-readable program instructions for executing the method described in the above embodiments.

[0148] Computer readable storage media can be tangible devices that hold and store instructions used by instruction execution devices. Computer readable storage media can be, for example, but not limited to, electronic storage devices, magnetic storage devices, optical storage devices, electromagnetic storage devices, semiconductor storage devices, or any combination thereof.

[0149] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention, rather than to limit it. Although the present invention has been described in detail with reference to the aforementioned embodiments, those skilled in the art should understand that they can still modify the technical solutions described in the aforementioned embodiments, or make equivalent replacements for some of the technical features therein. However, these modifications or replacements do not deviate the essence of the corresponding technical solutions from the protection scope of the technical solutions of the various embodiments of the present invention.

Claims

1. A method for calculating the natural frequency of lateral vibration of an Euler-Bernoulli beam, characterized in that: The natural frequency calculation method includes: Calculating the micro-unit mass of the current point on the beam and the vibration acceleration of the lateral vibration of the current point under the force condition; Calculate the micro-unit inertial force at the current point according to the micro-unit mass and the vibration acceleration; integrating the inertial force of the micro-unit to obtain an equivalent mass; The stiffness coefficient of the beam is calculated, and the natural frequency of the lateral vibration of the beam is calculated according to the equivalent mass and the stiffness coefficient using the following formula: Where f0 is the natural frequency; m eq is the equivalent mass; K is the stiffness coefficient of the beam.

2. The method for calculating the natural frequency of lateral vibration of an Euler-Bernoulli beam according to claim 1, wherein: The step of "calculating the micro-element mass of the current point on the beam" specifically includes: The micro-unit mass at the current point is calculated according to the following formula: dM=ρ·A·dx Among them, dM is the mass of the micro unit; ρ is the density of the beam; A is the cross-sectional area of ​​the beam; dx is the micro unit at the current point.

3. The method for calculating the natural frequency of lateral vibration of an Euler-Bernoulli beam according to claim 2, characterized in that: The step of “calculating the micro-unit inertial force at the current point according to the micro-unit mass and the vibration acceleration” specifically includes: The micro-unit inertial force is calculated according to the following formula: Wherein, dF is the micro-unit inertial force generated by the micro-unit mass dM; is the vibration acceleration of the lateral vibration of the current point under force conditions.

4. The method for calculating the natural frequency of lateral vibration of an Euler-Bernoulli beam according to claim 3, wherein: The step of “integrating the micro-unit inertial force to obtain equivalent mass” specifically includes: The micro-unit inertia force is integrated to obtain the total inertia force of the beam, and the integral formula is as follows: Where F0 is the total inertia force of the beam, L is the coordinate value of the concentrated mass application point of the beam in the longitudinal direction, and l is the total length of the beam; The equivalent mass of the concentrated mass application point is obtained by calculation according to the total inertial force.

5. The method for calculating the natural frequency of lateral vibration of an Euler-Bernoulli beam according to claim 4, characterized in that: The specific steps of "calculating the equivalent mass of the concentrated mass application point based on the total inertial force" are: The total inertial force of the concentrated mass at the point of application of the concentrated mass is calculated as follows: Where M is the concentrated mass; Will Substitute into the formula In, and follow m eq =M conversion, the final equivalent mass is: in, It is the maximum vibration acceleration of the concentrated mass application point of the beam, that is, the maximum vibration acceleration of the entire beam.

6. The method for calculating the natural frequency of lateral vibration of an Euler-Bernoulli beam according to claim 5, characterized in that: The beam is a cantilever beam with one end fixed and the other free, and a total length of l. The concentrated mass application point of the cantilever beam is at the free end of the beam, and the coordinate value of this point in the length direction is x=L=l. The vibration acceleration of the current point on the cantilever beam is: The equivalent mass of the cantilever beam is obtained according to the vibration acceleration of the current point:

7. The method for calculating the natural frequency of lateral vibration of an Euler-Bernoulli beam according to claim 5, characterized in that: The beam is a simply supported beam with a total length of l. The concentrated mass application point of the simply supported beam is in the middle of the beam. The coordinate value of this point in the length direction is x = L = l / 2. The vibration acceleration of the current point on the simply supported beam is: The equivalent mass of the simply supported beam is obtained according to the vibration acceleration of the current point:

8. The method for calculating the natural frequency of lateral vibration of an Euler-Bernoulli beam according to claim 5, characterized in that: The beam is fixed at both ends, with a total length of l. The concentrated mass application point of the fixed-end beam is in the middle of the beam, and the coordinate value of this point in the length direction is x=L=l / 2. The vibration acceleration of the current point on the fixed-end beam is: The equivalent mass of the fixed beam at both ends is obtained according to the vibration acceleration of the current point:

9. A computer storage medium having a computer program stored thereon, characterized in that: When the computer program is executed by a processor, the method for calculating the natural frequency of the lateral vibration of the Euler-Bernoulli beam according to any one of claims 1 to 8 is implemented.

10. A computer device comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein: When the processor executes the computer program, the method for calculating the natural frequency of the lateral vibration of the Euler-Bernoulli beam according to any one of claims 1 to 8 is implemented.

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